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Time-modulated gain and loss parity-time symmetric resonators
Presentation / Conference Contribution
Phang, S., Vukovic, A., Creagh, S., Gradoni, G., Sewell, P., & Benson, T. M. Time-modulated gain and loss parity-time symmetric resonators. Presented at 24th International Workshop on Optical Wave & Waveguide Theory and Numerical Modelling (OWTNM 2016)

Class D amplifier power stage with PWM feedback loop
Journal Article
Lam, C., Tan, M., Cox, S. M., & Yeo, K. Class D amplifier power stage with PWM feedback loop. IEEE Transactions on Power Electronics, 28(8), https://doi.org/10.1109/TPEL.2012.2230027

This paper presents a Second-Order Pulse Width Modulation (PWM) feedback loop to improve Power Supply Rejection (PSR) of any open-loop PWM Class-D amplifiers (CDAs). PSR of the audio amplifier has always been a key parameter in mobile phone applicat... Read More about Class D amplifier power stage with PWM feedback loop.

Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows
Journal Article
Cliffe, A., Hall, E., & Houston, P. Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows. Manuscript submitted for publication

In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the hydrodynamic stability problem associated with the incompressible Navier-Stokes equations. Parti... Read More about Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows.

Clustering through post inhibitory rebound in synaptically coupled neurons
Journal Article
Chik, D. T. W., Coombes, S., & Wang, Z. D. Clustering through post inhibitory rebound in synaptically coupled neurons

Post inhibitory rebound is a nonlinear phenomenon present in a variety of nerve cells. Following a period of hyper-polarization this effect allows a neuron to fire a spike or packet of spikes before returning to rest. It is an important mechanism u... Read More about Clustering through post inhibitory rebound in synaptically coupled neurons.

Coupled parity-time symmetric cavities: results from transmission line modelling simulations
Presentation / Conference Contribution
Phang, S., Vukovic, A., Creagh, S., Sewell, P. D., Gradoni, G., & Benson, T. M. Coupled parity-time symmetric cavities: results from transmission line modelling simulations. Presented at 17th International Conference on Transparent Optical Networks ICTON 2015

This paper studies the impact of a dispersive gain/loss material model on Parity-Time (PT) coupled microresonator cavity structures using the time-domain Transmission-Line Modelling method. A modal analysis is also performed to compare the modal comp... Read More about Coupled parity-time symmetric cavities: results from transmission line modelling simulations.

Bayesian model choice via mixture distributions with application to epidemics and population process models
Book
O'Neill, P. D., & Kypraios, T. Bayesian model choice via mixture distributions with application to epidemics and population process models. University of Nottingham

We consider Bayesian model choice for the setting where the observed data are partially observed realisations of a stochastic population process. A new method for computing Bayes factors is described which avoids the need to use reversible jump appro... Read More about Bayesian model choice via mixture distributions with application to epidemics and population process models.

Kernels for products of L-functions
Journal Article
Diamantis, N., & O'Sullivan, C. Kernels for products of L-functions. Algebra and Number Theory, 7(8), https://doi.org/10.2140/ant.2013.7.1883

The Rankin-Cohen bracket of two Eisenstein series provides a kernel yielding products of the periods of Hecke eigenforms at critical values. Extending this idea leads to a new type of Eisenstein series built with a double sum. We develop the properti... Read More about Kernels for products of L-functions.

Phase-amplitude descriptions of neural oscillator models
Journal Article
Wedgwood, K. C., Lin, K. K., Thul, R., & Coombes, S. Phase-amplitude descriptions of neural oscillator models. Journal of Mathematical Neuroscience, 3(2), https://doi.org/10.1186/2190-8567-3-2

Phase oscillators are a common starting point for the reduced description of many single neuron models that exhibit a strongly attracting limit cycle. The framework for analysing such models in response to weak perturbations is now particularly well... Read More about Phase-amplitude descriptions of neural oscillator models.

Using computational models to relate structural and functional brain connectivity
Journal Article
Hlinka, J., & Coombes, S. Using computational models to relate structural and functional brain connectivity. European Journal of Neuroscience, 36(2), https://doi.org/10.1111/j.1460-9568.2012.08081.x

Modern imaging methods allow a non-invasive assessment of both structural and functional brain connectivity. This has lead to
the identification of disease-related alterations affecting functional connectivity. The mechanism of how such alterations... Read More about Using computational models to relate structural and functional brain connectivity.